Chekhanova G. Continuity by parameter of solutions of one-dimensional boundary value problems and their derivatives

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0415U001685

Thesis Registration Form

0415U001685.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

31-03-2015

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

Sufficient conditions for the continuous dependence on parameter of solutions of two classes of non-homogeneous boundary value problems are found in this thesis. Namely, for total problems on the spaces С^{(n)} for systems of linear differential equations of the first order in the corresponding norm and for general boundary value problems for systems of linear differential equations of arbitrary order in the norm of spaces C^{(r - 1)}. Also the thesis investigates the convergence of corresponding Green's matrices in the uniform norm on square.

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Files

avtoref_v4.pdf

dis.pdf

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